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Contribution à l'identification fréquentielle robuste des systèmes dynamiques linéaires

Abstract : This thesis deals with the robust identification in H index infinity from band-limited data, a natural generalization of robust H index infinity identification problem as studied for instance by Gu, Helmiki, Jacobson, Kargonekhar, Mäkilä, Nett or Partington. The introduction of a prescribed behaviour and a gauge function allow an adaptation of the classical two stage algorithme. The solution is then that of a bounded extremal problem after a first robust interpolation stage of data on a subset on the unit circle. This leads to a typically discontinuous solution. The main contribution of the present work to robust harmonic identification consists to build, from band-limided data, a robust model in the disc algebra. An algorithm is given and numerical issues are developped. The choice of the behaviour off the bandwidth leads to introduce the analytic completion problem in H index p. The solution in the H index 2 case provides us some ways of assessing the validity of the linearity assumption of the system.
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Submitted on : Monday, March 7, 2011 - 11:07:06 AM
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Nabil Torkhani. Contribution à l'identification fréquentielle robuste des systèmes dynamiques linéaires. Systèmes dynamiques [math.DS]. Ecole nationale des ponts et chaussées - ENPC PARIS / MARNE LA VALLEE, 1995. Français. ⟨pastel-00574096⟩

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